6.3 Characterize the growth in total factor productivity (Solow residual) given the production functions: a. Y=AF(KL)...
Define/Describe 1. total factor productivity 2. Solow residual
Suppose we introduce government purchases into the Solow Growth model. The production technology is given by 1. Suppose we introduce government purchases into the Solow Growth model. The production technology is given by Y = AK N- where A is some measure of total factor productivity, K, is the level of capital and N is the size of the labor force. Output is split between consumption, C, investment, I, and Government purchases, G. according to Y=C +I+G. Assume that government...
In the Solow model with a positive rate of population growth n and technological progress z, the steady state level of total real output Y grows at the rate: a. n. b. zero. c. z. d. n + z. In the Solow model with a positive rate of population growth n and technological progress z, the steady state level of per worker real output y grows at the rate: a. n. b. zero. c. z. d. n + z. In...
suppose that the growth rate of output per worker is 2% and that the growth rate of capital per worker is 1% calculate the growth rate of total factor productivity assuming a production function of Y 4. (20 points) Suppose that the growth rate of output per worker is 2% and that the growth rate of capital per worker is 1%. Calculate the growth rate of total factor productivity assuming a production tu of Y = AK -9, with a...
15. Consider an economy, with a production function given by Y-AK03L07. This economy's annual GDP growth rate is 5%. Also assume that L and Kare both growing at annual rates of 2%. Calculate the growth rate of total factor productivity for this economy. a. 2.0% b. 3.0% 4.0% c. d. 5.0% 16. Suppose output is determined by a Cobb-Douglas production function Y=AK L1 Where 0ca<1. If total factor productivity (A) remains constant, but labour (L) and capital (K) inputs both...
Consider the following production functions Y = AK1/2L1/2 Y=AK+3L a. Fixing total factor productivity (A) at 2 and labor employment (L) at 16 units, what is the marginal product of capital when capital employment (K) is 25, 35, and 45 for each production function? Do these production functions exhibit diminishing returns to capital employment? Explain. b. Are labor and capital complements under these production functions? Explain. c. Is either production function a “Cobb-Douglas” function? Explain. 3. Describe the difference between...
A and B only Consider the Solow growth model with the following production function where y is output. K is capital, s is the productivity and is labor. Assume that 0 < α < 1 Further, suppose that labor grows at a constant rate n. That is. 1 + n. Also, assume that capital depreciates at rate d and that gross investment in capital is fraction s of output. a Letting k-N, obtain the law of motion for capital accumulation...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings rate s, depreciation rate d and no growth in productivity or labor (gA = gN = 0) (a) Suppose A = 1, a = 1/3, s = 0.2 and 5 = 0.1 (annual). Calculate the steady state capital per worker and steady state output per worker (b) Suppose that the real wage w and real return to capital r are equal to the marginal...
Imagine a Solow Growth Model with a standard Cobb-Douglas production function and the following parameters: α = 0.33; d = 0.05; A = 2; s = 0.5; n = 0.25 a) Calculate the rate of capital accumulation (law of motion) b) Calculate the steady state level of capital? c) Calculate the steady state level of real output/income? d) Calculate the steady state level of investment? e) Calculate the steady state level of consumption? f) What effect does a higher productivity...
Consider the standard continuous-time Solow model where the production function is given by F (K,AL)- BK AL (a) Is this a neoclassical production function? Explain. (b) Derive the fundamental dynamic equation in terms of per capita capital kK/I (c) Can we have sustained growth? Explain (d) Characterize the dynamics in a phase diagram of (k,k Consider the standard continuous-time Solow model where the production function is given by F (K,AL)- BK AL (a) Is this a neoclassical production function? Explain....